title: Surface-to-volume ratio with oscillating gradients.
abstract: Restrictions to diffusion result in the dispersion of the bulk diffusion coefficient. We derive the exact universal high-frequency behavior of the diffusion coefficient in terms of the surface-to-volume ratio of the restrictions. This frequency dependence can be applied to quantify structure of complex samples with NMR using oscillating field gradients and static-gradient CPMG. We also demonstrate the inter-relations between different equivalent diffusion metrics, and describe how to calculate the effect of restrictions for arbitrary gradient waveforms.
authors.affiliation: Center for Biomedical Imaging, New York University School of Medicine, New York, NY 10016, USA. dima@alum.mit.edu
authors.forename: Dmitry S
authors.initials: DS
authors.lastname: Novikov
authors.forename: Valerij G
authors.initials: VG
authors.lastname: Kiselev
mesh_terms: D038524:Diffusion Magnetic Resonance Imaging / Q000379:methods*; D005583:Fourier Analysis; D008962:Models, Theoretical; D016062:Porosity; D013997:Time Factors